The phrase "blow one's cork" is considered a colloquialism and is used to describe someone who is angry or upset. The word "cork" is used to refer to the top of a bottle, and when someone is said to "blow their cork," it means they have lost their temper or become agitated. The antonyms for this phrase, therefore, would be ones that connote a sense of calm, serenity, or control. Some possible antonyms could be "stay calm," "remain tranquil," "keep one's cool," "maintain composure," or "stay grounded." These antonyms suggest an ability to stay in control and calm in the face of adversity.